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The prime intention of this paper is to study the conditions under which certain non-linear generalized delay-differential equations possess a solution. In this respect, by extending and improving recent results of [ 5 ,  15 ], we characterize the nature of solutions. By providing relevant examples in a remark, we also show that for the uniqueness of solutions the conditions on the Borel exceptional value can not be removed. Finally, to determine explicitly all forms of the solutions of a traditional generalized delay-differential equation, we deal with the situation under the aegis of generalized  c -delay-differential equations. We exhibit some examples to show that the conclusions of the theorems actually occur.

On the transcendental entire and meromorphic solutions of certain non-linear generalized delay-differential equations